Question

In the diagram of circle M shown, the measure of major arc PRQ=268 . Which of the following

is the measure of angle PRQ ?

Answer 1

Explanation:

The Answer is 46

The measure of Arc PRQ is 268. Another part of the arc is PQ. PRQ+PQ forms a full circle In which a circle has 360 degrees. Using that

`268 + x = 360`

`x = 92`

Since we are asked to the measure of PRQ and it is inscribed in arc PQ. It is half of PQ so the answer is

`92 / 2`

which is 46.